<span>"ratio of princesses to celebrities is 3:1"
The are 3 more times princesses as celebrities.
</span>"<span>The ratio of superheros to princesses is 5:4"
For each 4 princesses, there are 5 superheroes.
For 1 celebrity, there are 3 pincesses.
For 4 celebrities, there are 12 princesses.
For 12 princesses, there are 15 superheroes.
The ratio of celebrities to princesses to superheroes is
4:12:15 or 4x:12x:15x
Add them: 4x + 12x + 15x = 31x
31x = 93
x = 93/31 = 3
Celebrities: 4x = 4(3) = 12
Princesses: 12x = 12(3) = 36
Superheroes: 15x = 15(3) = 45
</span>
Answer:
-12x+20
Step-by-step explanation:
12+2x-14x+8
Add constants: 20+2x-14x
Add variables: 20-12x
Reorder: -12x+20
slope = difference in y / difference in x
slope = 12 -11 / 2 -6
slope = 1 / -4
slope = -1 / 4 or
-.25
Answer:
y = x+2
Step-by-step explanation:
(x1,y1) is (-4,-2) and (x2,y2) is (2,4)
Slope intercept form is y = mx+b
m = slope
b = add on
Slope = ![\frac{y_{2}-y_{1}}{x_{2}-x_{1}}](https://tex.z-dn.net/?f=%5Cfrac%7By_%7B2%7D-y_%7B1%7D%7D%7Bx_%7B2%7D-x_%7B1%7D%7D)
Substitute numbers
Slope = ![\frac{4-(-2)}{2-(-4)}](https://tex.z-dn.net/?f=%5Cfrac%7B4-%28-2%29%7D%7B2-%28-4%29%7D)
Two negatives = one positive
Simplify
![Slope = \frac{4+2}{2+4}=\frac{6}{6}=1](https://tex.z-dn.net/?f=Slope%20%3D%20%5Cfrac%7B4%2B2%7D%7B2%2B4%7D%3D%5Cfrac%7B6%7D%7B6%7D%3D1)
The slope is 1
We can substitute y, x, and the slope
4 = 2*1 + b
4 = 2+b
b = 2
Slope intercept form is y = mx+b
Answer is y = x+2
Hope this helps :)
Answer:
The functions share a y intercept of -1
Step-by-step explanation:
Both functions cross the y axis and y=-1 and x=0
They both have the same y intercept